Processing of high-dimensional and multi-scale data with support vector machines: Application to substorm forecasting.

Physics – Geophysics

Scientific paper

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2447 Modeling And Forecasting, 3200 Mathematical Geophysics (New Field), 3210 Modeling

Scientific paper

Predictive capabilities of the data-driven geomagnetic substorm/storm models depend on the quality and amount of real-time data and on the algorithm used to extract generalized mappings. Availability of the high-resolution multi-scale data constantly increases. The best possible use of this observational information requires efficient processing and generalization of high-dimensional input data. The majority of advanced nonlinear algorithms can encounter a set of problems called "dimensionality curse". Neural networks (NN), one of the leading techniques for substorm/storm forecasting, are also sensitive to input dimensionality. A very promising algorithm that combines the power of the best nonlinear techniques and tolerance to very high-dimensional data is support vector machine (SVM). We have applied SVM to space science for the very first time to predict large-amplitude substorm events from solar wind data. We conclude that performance of SVM models can be comparable to or be superior to that of the NN-based models. The advantages of the SVM-based techniques are expected to be much more pronounced in future space-weather forecasting models, which will incorporate many types of high-dimensional, multi-scale input data once real-time availability of this information becomes technologically feasible.

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